15 citations · 33 across the 17 of their papers we have counts for
8 papers · 1 filter
Modelling cell-cell collision and adhesion with the Filament Based Lamellipodium Model
Nikolaos Sfakianakis, Diane Peurichard, Aaron Brunk +1
We extend the live-cell motility Filament Based Lamellipodium Model to incorporate the forces exerted on the lamellipodium of the cells due to cell-cell collision and cadherin indu…
A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix
Nikolaos Sfakianakis, Anotida Madzvamuse, Mark A. J. Chaplain
The ability to locally degrade the extracellular matrix (ECM) and interact with the tumour microenvironment is a key process distinguishing cancer from normal cells, and is a criti…
Stability, convergence, and sensitivity analysis of the Filament Based Lamellipodium Model and the corresponding FEM
Nikolaos Sfakianakis, Aaron Brunk
This paper focuses on the study of the Filament Based Lamellipodium Model (FBLM) and the corresponding Finite Element Method (FEM) from a numerical point of view. We study fundamen…
Chemotaxis and Haptotaxis on Cellular Level
Aaron Brunk, Niklas Kolbe, Nikolaos Sfakianakis
Chemotaxis and haptotaxis have been a main theme in the macroscopic study of bacterial and cellular motility. In this work we investigate the influence these processes have on the…
A multiscale approach to the migration of cancer stem cells: mathematical modelling and simulations
Nikolaos Sfakianakis, Niklas Kolbe, Nadja Hellmann +1
We propose a multiscale model of the invasion of the extracellular matrix by two types of cancer cells, the differentiated cancer cells and the cancer stem cells. We assume that th…
A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix
Nadja Hellmann, Niklas Kolbe, Nikolaos Sfakianakis
Current biological knowledge supports the existence of a secondary group of cancer cells within the body of the tumour that exhibits stem cell-like properties. These cells are term…
Numerical treatment of the Filament Based Lamellipodium Model (FBLM)
A. Manhart, D. Oelz, C. Schmeiser +1
We describe in this work the numerical treatment of the Filament Based Lamellipodium Model (FBLM). The model itself is a two-phase two-dimensional continuum model, describing the d…
An Extended Filament Based Lamellipodium Model Produces Various Moving Cell Shapes in the Presence of Chemotactic Signals
Angelika Manhart, Christian Schmeiser, Nikolaos Sfakianakis +1
The Filament Based Lamellipodium Model (FBLM) is a two-phase two-dimensional continuum model, describing the dynamcis of two interacting families of locally parallel actin filament…